Networks of Hamiltonian systems and feedback

DOI10.1016/j.sysconle.2008.10.009zbMath1159.93009OpenAlexW2026153841MaRDI QIDQ1016602

Mohamed-Ali Belabbas

Publication date: 6 May 2009

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.10.009

zbMATH Keywords

networksHamiltonian systemssymplectic formToda flowsDirac-Bergmann theory

Mathematics Subject Classification ID

Geometric methods (93B27) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Applications of linear algebraic groups to the sciences (20G45)

Cites Work

• Lie algebraic aspects of the finite nonperiodic Toda flows
• The solution to a generalized Toda lattice and representation theory
• Completely integrable systems, Euclidean Lie algebras, and curves
• Theory of nonlinear lattices.
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• Hamiltonian dynamics with external forces and observations
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• On Some Periodic Toda Lattices
• On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems
• The Equivalence of Controlled Lagrangian and Controlled Hamiltonian Systems
• Dirac Manifolds
• Generalized Hamiltonian Dynamics
• Lectures on symplectic geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item